GCF of 315/81, 504/5268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 315/81, 504/5268 i.e 63/142236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 315/81, 504/5268.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 315/81,504/5268?
Given fractions are 315/81,504/5268
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 315/81,504/5268, numerators are 315,504
Denominators are 81,5268
The GCF of 315,504 is 63 .
LCM of 81,5268 is 142236.
The greatest common factor of 315/81,504/5268 = [GCF of 315,504]/[LCM of 81,5268]= 63/142236
Therefore, the GCF of 315/81,504/5268 is 63/142236.
To find the highest common factor of 315,504, we have to find the factors of both numbers and list the highest common factor.
The factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
The factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
The HCF of 315,504 is 63.
Lets's calculate GCF of 315,504
| 3 | 315, 504 |
| 3 | 105, 168 |
| 7 | 35, 56 |
| 5, 8 |
∴ So the GCF of the given numbers is 3 x 3 x 7 = 63
Greatest Common Factor of 315,504 By Matching Biggest Common Factor Method
Now, list down the factors of 315
:1,3,5,7,9,15,21,35,45,63,105,315
Now, list down the factors of 504
:1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Greatest Common Factor
We found the factors 315,504 . The biggest common factor number is the GCF number.
So the greatest common factor 315,504 is 63.
Lets's calculate LCM of 81,5268
| 3 | 81, 5268 |
| 27, 1756 |
∴ So the LCM of the given numbers is 3 x 27 x 1756 = 142236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 63/142236
Therefore, the GCF of Fractions 315/81,504/5268 is 63/142236
Least Common Multiple of 81,5268 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 81,5268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,5268) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(81,5268) x common factors =3 x 1 = 3
LCM(81,5268) = ( 81 × 5268 ) / 3
LCM(81,5268) = 426708 / 3
LCM(81,5268) = 142236
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FAQs on GCF of Fractions of 315/81, 504/5268
1. What is the HCF of 315,504?
The HCF of 315,504 is 63
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 315/81, 504/5268?
Answer: GCF of Numerators as per given numbers 315/81, 504/5268 is
GCF of Numerators i.e. for 315,504 is 63
LCM of denominators i.e. for 81,5268 is 142236.
Thus, GCF of Fractions is 63/142236.Finally, GCF of Fractions for 315/81, 504/5268 is 63/142236.